Wencai Liu

activity

20132026

most citedArithmetic Spectral Transitions for the Maryland Model

36 citations · 389 across the 48 of their papers we have counts for

collaborators

Showing 2016 · math-phShow all

4 papers · 2 filters

math-ph2016★ 1 cited

The spectra of surface Maryland model for all phases

Wencai Liu

We study the discrete Schrödinger operators $H_{λ, α, θ}$ on $ℓ^{2} (Z^{d + 1})$ with surface potential of the form $V (n, x) = λ δ (x) tan π (α \cdot n + θ)$ , and $H_{λ, α, θ}^{+}$ on $\e…

math-ph2016★ 2 cited

A lower bound on the Lyapunov exponent for the generalized Harper's model

Svetlana Jitomirskaya, Wencai Liu

We obtain a lower bound for the Lyapunov exponent of a family of discrete Schrödinger operators $(H u)_{n} = u_{n + 1} + u_{n - 1} + 2 a_{1} cos 2 π (θ + n α) u_{n} + 2 a_{2} cos 4 π (θ + n α) u_{n}$ , that incorporates…

math-ph2016★ 36 cited

Arithmetic Spectral Transitions for the Maryland Model

Svetlana Jitomirskaya, Wencai Liu

We give a precise description of spectra of the Maryland model $(h_{λ, α, θ} u)_{n} = u_{n + 1} + u_{n - 1} + λ tan π (θ + n α) u_{n}$ for all values of parameters. We introduce an arithmetically defi…

math-ph2016★ 5 cited

Universal hierarchical structure of quasiperiodic eigenfunctions

Svetlana Jitomirskaya, Wencai Liu

We determine exact exponential asymptotics of eigenfunctions and of corresponding transfer matrices of the almost Mathieu operators for all frequencies in the localization regime.…